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20971357312 = 271923438719
BaseRepresentation
bin10011100001111111…
…011000010010000000
32000010112022022222111
4103201333120102000
5320422131413222
613344544545104
71341455411263
oct234177302200
960115268874
1020971357312
11899186a164
124093322194
131c929c6889
14102d2d8cda
1582b190777
hex4e1fd8480

20971357312 has 128 divisors (see below), whose sum is σ = 46962432000. Its totient is φ = 9279857664.

The previous prime is 20971357273. The next prime is 20971357313. The reversal of 20971357312 is 21375317902.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20971357313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400889 + ... + 2409607.

It is an arithmetic number, because the mean of its divisors is an integer number (366894000).

Almost surely, 220971357312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20971357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23481216000).

20971357312 is an abundant number, since it is smaller than the sum of its proper divisors (25991074688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20971357312 is a wasteful number, since it uses less digits than its factorization.

20971357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 20971357312 in words is "twenty billion, nine hundred seventy-one million, three hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 43 46 64 76 86 92 128 152 172 184 304 344 368 437 608 688 736 817 874 989 1216 1376 1472 1634 1748 1978 2432 2752 2944 3268 3496 3956 5504 6536 6992 7912 8719 13072 13984 15824 17438 18791 26144 27968 31648 34876 37582 52288 55936 63296 69752 75164 104576 126592 139504 150328 165661 200537 279008 300656 331322 374917 401074 558016 601312 662644 749834 802148 1116032 1202624 1325288 1499668 1604296 2405248 2650576 2999336 3208592 3810203 5301152 5998672 6417184 7123423 7620406 8623091 10602304 11997344 12834368 14246846 15240812 17246182 21204608 23994688 25668736 28493692 30481624 34492364 47989376 56987384 60963248 68984728 113974768 121926496 137969456 163838729 227949536 243852992 275938912 327677458 455899072 487705984 551877824 655354916 911798144 1103755648 1310709832 2621419664 5242839328 10485678656 20971357312